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Finding the Fourth Proportional to 237.07, 355.94 and 206.31

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Solution

The fourth proportional to 237.07, 355.94 and 206.31 is: 309.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.07 : 355.94 = 206.31 : x
  2. Step 2: Convert to fraction form
    237.07/355.94 = 206.31/x
  3. Step 3: Cross multiply
    237.07x = 355.94 × 206.31
  4. Step 4: Simplify right side
    237.07x = 73,433.98
  5. Step 5: Solve for x
    x = 73,433.98/237.07
  6. Step 6: Final answer
    x = 309.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.